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Nonparametric Families: Densities and Hazard Rates

  • Albert W. Marshall
  • Ingram Olkin
Part of the Springer Series in Statistics book series (SSS)

Abstract

A number of nonparametric families of life distributions have been studied, particularly in the context of reliability theory; the most important of these families are discussed in this chapter. Because the families are defined by properties that have physically meaningful interpretations, an assumption that a distribution lies in a particular family sometimes can be justified by a physical understanding of the failure mechanism. For these nonparametric families, many statistical procedures are available that can be regarded as standing between parametric and standard distribution-free analyses.

Keywords

Exponential Distribution Hazard Rate Survival Function Life Distribution Reverse Hazard Rate 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer 2007

Authors and Affiliations

  • Albert W. Marshall
    • 1
  • Ingram Olkin
    • 2
  1. 1.Department of StatisticsUniversity of British ColumbiaVancouverCanada
  2. 2.Department of StatisticsStanford UniversityStanfordUSA

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